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Finding the Third Proportional to 425,810 and 927,220

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Solution

The third proportional to 425,810 and 927,220 is: 2,019,062.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,810 : 927,220 = 927,220 : x
  2. Step 2: Convert to fraction form
    425,810/927,220 = 927,220/x
  3. Step 3: Cross multiply
    425,810x = 927,220 × 927,220
  4. Step 4: Simplify right side
    425,810x = 859,736,928,400
  5. Step 5: Solve for x
    x = 859,736,928,400/425,810
  6. Step 6: Final answer
    x = 2,019,062.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.